260555717400 has 192 divisors, whose sum is σ = 896088182400. Its totient is φ = 62094336000.

The previous prime is 260555717399. The next prime is 260555717467. The reversal of 260555717400 is 4717555062.

It is a happy number.

260555717400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54840 + ... + 723960.

It is an arithmetic number, because the mean of its divisors is an integer number (4667125950).

Almost surely, 2^260555717400 is an apocalyptic number.

260555717400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260555717400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448044091200).

260555717400 is an abundant number, since it is smaller than the sum of its proper divisors (635532465000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260555717400 is a wasteful number, since it uses less digits than its factorization.

260555717400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669210 (or 669201 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 260555717400 in words is "two hundred sixty billion, five hundred fifty-five million, seven hundred seventeen thousand, four hundred".